Department of Mathematics
Dynamical Systems
Faculty: URES Raul, HERTZ Jana
Research topics:
Hamiltonian systems, including instability, transition property and ergodic property，symplectic geometry and topology, index theory and its applications to stability of dynamic systems, many body problems in celestial mechanics, chaos, and fundamental theory of dark matters.
Algebraic Combinatorial Mathematics, Algebraic Number Theory, Algebraic Geometry
Faculty: LI Caiheng, QIU Yannan, HU Yong, LI Zhan
Research topics:
combinatorial mathematics, finite group theory, algebraic number theory, algebraic geometry
PDEs and Their Applications
Faculty: SU Linlin
Research topics:
Qualitative theory of nonlinear elliptic and parabolic reaction-diffusion equations and systems, mathematical biology, especially mathematical models in population genetics and ecology.
Mathematical Physics and Topological Geometry
Faculty: GAROUFALIDIS Stavros, HOU Yong, LI Qin, IRMER Ingrid, ZHU Yifei
Research topics:
Batalin-Vilkovisky quantization in field theory and its applications in geometry and topology, quantum topology, 3-dimensional topology, and differential geometry.
Computational Mathematics
Faculty: TANG Tao, KURGANOV Alex, LI Jingzhi, YANG Jiang
Research topics:
numerical partial differential equations including conservation laws, high resolution and self-adaptive methods, central-upwind schemes, computational fluid dynamics, shallow-water equations, data assimilation, inverse problems, computational finance.
Applied Mathematics
Faculty: WANG Xiaoming, ZHANG Zhen, ZHANG Jin
Research topics:
Problems related to fluid dynamics, groundwater research and geophysical fluid dynamics; numerical PDEs, multiscale modeling and simulations of moving contact lines in multiphase flow, sparse representation of data and feature selection in high dimensions, optimization theories.
Probability
Faculty: XIONG Jie, SUN Jingrui
Research topics:
applied probability, stochastic process and stochastic control.
Financial Mathematics
Faculty: XIONG Jie, SUN Jingrui, ZENG Pingping, GU Jiawen
Research topics:
financial dynamics, pricing of financial derivatives, computational finance, and actuarial theory.